The linear equation 3x+2y=12 is given below. Work out the following:
a. (i) Complete the ordered pairs so that they satisfy the equation:
(a) (_,4)
(b) (0,_)
(c) (2,_)
b. (ii) Prove algebraically that if x is any integer, the ordered pair (x,6−23x) satisfies the equation.
c. (iii) Using the result of part (ii), list any three different integer solutions other than those obtained in part (i).